Hamburg University of Technology

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19962026

most citedIce structures, patterns, and processes: A view across the ice-fields

368 citations

Showing 2019 · math.FAShow all

7 papers · 2 filters

math.FA2019

Vector-valued Fourier hyperfunctions and boundary values

Karsten Kruse

This work is dedicated to the development of the theory of Fourier hyperfunctions in one variable with values in a complex non-necessarily metrisable locally convex Hausdorff space…

math.FA2019★ 6 cited

Vector-valued holomorphic functions in several variables

Karsten Kruse

In the present paper we give some explicit proofs for folklore theorems on holomorphic functions in several variables with values in a locally complete locally convex Hausdorff spa…

math.FA2019★ 3 cited

Extension of vector-valued functions and weak-strong principles for differentiable functions of finite order

Karsten Kruse

In this paper we study the problem of extending functions with values in a locally convex Hausdorff space $E$ over a field $K$ , which have weak extensions in a weighted Ba…

math.FA2019★ 10 cited

Limit operators techniques on general metric measure spaces of bounded geometry

Raffael Hagger, Christian Seifert

We study band-dominated operators on (subspaces of) $L_{p}$ -spaces over metric measure spaces of bounded geometry satisfying an additional property. We single out core assumptions to…

math.FA2019★ 10 cited

On the harmonic extension approach to fractional powers in Banach spaces

Jan Meichsner, Christian Seifert

We show that fractional powers of general sectorial operators on Banach spaces can be obtained by the harmonic extension approach. Moreover, for the corresponding second order ordi…

math.FA2019★ 8 cited

Parameter dependence of solutions of the Cauchy-Riemann equation on spaces of weighted smooth functions

Karsten Kruse

We study the inhomogeneous Cauchy-Riemann equation on spaces $E V (Ω, E)$ of weighted $C^{\infty}$ -smooth $E$ -valued functions on an open set $Ω\subset\mathbb{R}^{…